### Abstract

We obtain the large time asymptotic expansion of small solutions to the Landau-Ginzburg type equations (equation presented) where α, Zeh cyrrillic sign ∈ C, ℜα > 0, ℜ(Zeh cyrrillic sign/ √2^{1}α|^{2} + α^{2}) ≥ 0, under the condition that the initial data o are sufficiently small in a suitable weighted norm and the mean value (latin small letter esh) o(cursive Greek chi) dcursive Greek chi ≠ 0.

Original language | English |
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Pages (from-to) | 91-106 |

Number of pages | 16 |

Journal | Asymptotic Analysis |

Volume | 32 |

Issue number | 2 |

Publication status | Published - 2002 Nov 1 |

Externally published | Yes |

### Keywords

- Asymptotic expansions
- Dissipative nonlinear evolution equation
- Landau-Ginzburg equation

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Hayashi, N., Kaikina, E. I., & Naumkin, P. I. (2002). Asymptotic expansion of small solutions to the Landau-Ginzburg type equations.

*Asymptotic Analysis*,*32*(2), 91-106.